Systems of conservation laws: 2 Geometric structures, oscillations, and initial-boundary value problems
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch Französisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2000
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009065697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 269 S. |
| ISBN: | 0521633303 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
SYSTEMS OF
CONSERVATION LAWS 2 GEOMETRIE STRUCTURES, OSCILLATIONS, AND
INITIAL-BOUNDARY VALUE PROBLEMS
DENIS SERRE TRANSLATED BY I. N. SNEDDON
CAMBRIDGE UNIVERSITY PRESS
IMAGE 2
CONTENTS
ACKNOWLEDGMENTS PAGE IX
INTRODUCTION XI
8 THE MAXIMUM PRINCIPLE 1
8.1 THE THEORY OF CHUEY, CONLEY AND SMOLLER 2
8.2 EXAMPLES 13
8.3 INVARIANT DOMAINS FOR THE RIEMANN PROBLEM 26
9 COMPENSATED COMPACTNESS 40
9.1 SOME FUNCTIONAL ANALYSIS 41
9.2 DESCRIPTION OF THE METHOD 55
9.3 ENTROPIES OF 2 X 2 SYSTEMS 60
9.4 TARTAR S EQUATION FOR 2 X 2 SYSTEMS 66
9.5 FIRST APPLICATIONS 72
9.6 PLANE ELECTROMAGNETIC WAVES 78
9.7 EXERCISES 82
10 PROPAGATION OF OSCILLATIONS 85
10.1 THE PROCEDURA FOR 2 X2 SYSTEMS 87
10.2 OSCILLATIONS WITH A SINGLE PHASE 101
11 WEAKLY NON-LINEAR GEOMETRIC OPTICS 119
11.1 THE BASIC EXAMPLE 120
11.2 THE ONE-DIMENSIONAL CASE 125
11.3 EXPANSION WITH A SINGLE PHASE (D 2) 135
12 RIEH SYSTEMS 143
12.1 CONSERVATION LAWS AND DIAGONAHSATION 143
VN
IMAGE 3
VLLL
CONTENTS
12.2 PROOFOF THEOREM 12.1.3 148
12.3 STRUCTUREOF RIEH SYSTEMS 152
13 TEMPLE FIELDS AND TEMPLE SYSTEMS 160
13.1 DEFINITIONS AND EXAMPLES 160
13.2 ENTROPIES 169
13.3 BVTHEORYOF TEMPLE SYSTEMS 173
13.4 THE METHOD OF CHARACTERISTICS 176
13.5 THE SYSTEMS CASE 185
14 BOUNDARY CONDITIONS AND INITIAL-BOUNDARY VALUE PROBLEMS 189
14.1 LINEAR SYSTEMS: LOPATINSKI S CONDITION 190
14.2 SURFACEWAVES 206
14.3 STABILITY OF SHOCK WAVES 210
14.4 PLANE SHOCK IN ISENTROPIC GAS DYNAMICS 218
14.5 THE INSTABILITYOFVORTEX SHEETS 222
14.6 EXERCISES 225
15 BOUNDARY LAYERS 230
15.1 THE SCALAR CASE 231
15.2 THE SYSTEMS CASE 240
15.3 EXERCISES 258
BIBLIOGRAPHY 261
INDEX 267
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV013297947 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:44:43Z |
| institution | BVB |
| isbn | 0521633303 |
| language | English French |
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| oclc_num | 316413995 |
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| physical | XI, 269 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Cambridge Univ. Press |
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| spellingShingle | Serre, Denis 1954- Systems of conservation laws Conservation laws (Mathematics) |
| title | Systems of conservation laws |
| title_alt | Systèmes de lois de conservation |
| title_auth | Systems of conservation laws |
| title_exact_search | Systems of conservation laws |
| title_full | Systems of conservation laws 2 Geometric structures, oscillations, and initial-boundary value problems Denis Serre |
| title_fullStr | Systems of conservation laws 2 Geometric structures, oscillations, and initial-boundary value problems Denis Serre |
| title_full_unstemmed | Systems of conservation laws 2 Geometric structures, oscillations, and initial-boundary value problems Denis Serre |
| title_short | Systems of conservation laws |
| title_sort | systems of conservation laws geometric structures oscillations and initial boundary value problems |
| topic | Conservation laws (Mathematics) |
| topic_facet | Conservation laws (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009065697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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